Unit 2

 MAKE UP TEST CORRECTIONS TONIGHT AT 7PM ROOM CC-18

Justin Shulman, Ben Errera , Amanda Diedrick, Rob O’Connor,

Owen Jean Jacques

Section 2-3, Problem Solving Using

Inequalities Objective: To solve word problems by using

inequalities in one variable. Do now: Without the book write the

definition for Conjunction and Disjunction Homework:

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Homework Questions????

Problem solving inequalities

Problem A bus is to be chartered for

the senior class trip. The basic fare is $9.50 per passenger. If more than 20 people go, everyone’s fare is reduced by $0.30 for each passengers over over this number. At least how many people must go to make the fare less than $7.50 per passenger.

Solution The problem asks for the least

number of passengers needed to make the fare for each less than $7.50

Let n= the number of passengers Then n-20 = the number of

passengers over 20 0.30(n-20)=the amount each

passenger’s fare is reduced 9.50-0.30(n-20)= the reduced

fare per passenger

Problem A bus is to be chartered for

the senior class trip. The basic fare is $9.50 per passenger. If more than 20 people go, everyone’s fare is reduced by $0.30 for each passengers over over this number. At least how many people must go to make the fare less than $7.50 per passenger.

Solution continued.

The reduced fair per passenger is less than $7.50

9.50-0.30(n-20)<$7.50 Solve

Check Answer

Check Answer 9.50-0.30(n-20)<$7.50

Certain phrases can be translated into mathematical

terms Phrase Translation

X is at least a

X is no less than a

X is at most b X is no greater than b X is between a and b X is between a and b,

inclusive

Find all sets of 4 consecutive integers whose sum is between

10 and 20 10 < the sum <20

10< n+ (n+1) +(n+2) +(n+3)<20

10<4n+6<20

4 < 4n <14

1 < n < 14/4

Interpret the results: since n is the integer, there are only two possible values for n : 2 and 3 .

{2,3,4,5} AND {3,4,5,6}

The problem asks for 4 consecutive integers; their sum must be greater than 10 and less than 20

Let n = the first of these integers Then the other three are

n+1,n+2,and n+3

Check Answer {2,3,4,5} AND {3,4,5,6} Is the sum between 10 and 20? For {2,3,4,5}: 10 < 2+3+4+5<20

10<14<20 For {3,4,5,6}: 10<3+4+5+6<20

10<18<20

To complete the check we must show that any other set of four consecutive integers will not satisfy the requirement. Eliminate the next greater set of four integers and next smaller integers.

In pairs work together to complete the

following: The Perez family has 100

more shares of stock B than of stock A. The current price per share of stock A is $18.50 and stock B is $24.75. At most how many shares of each do they have if the average price per share is greater than $22?

Find all the sets of five consecutive even integers whose sum is between 225 and 250

Word Problem Answer Solution

The problem asks for the maximum number of shares of each stock.

Let a= number of shares of stock A. Then a+100 = number of shares of stock B.

18.5a+24.75(a+100)

a+(a+100) >22

Solve

Solve 5 integers problem

Start in on your homework

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